1992328525200 has 480 divisors, whose sum is σ = 7285920921216. Its totient is φ = 461025607680.

The previous prime is 1992328525199. The next prime is 1992328525249. The reversal of 1992328525200 is 25258232991.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1992328525200.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 251140434 + ... + 251148366.

Almost surely, 2^{1992328525200} is an apocalyptic number.

1992328525200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1992328525200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3642960460608).

1992328525200 is an abundant number, since it is smaller than the sum of its proper divisors (5293592396016).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1992328525200 is a wasteful number, since it uses less digits than its factorization.

1992328525200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8931 (or 8920 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 48.

The spelling of 1992328525200 in words is "one trillion, nine hundred ninety-two billion, three hundred twenty-eight million, five hundred twenty-five thousand, two hundred".